Evaluating Functions

Front

What is a function?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What does f(x) represent in a function?

Back

f(x) represents the output of the function f for a given input x.

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input into the function's equation and simplify.

Front

What is the value of f(x) = x^2 when x = 3?

Back

f(3) = 3^2 = 9.

Front

What is the value of f(x) = 3x - 5 when x = -1?

Back

f(-1) = 3(-1) - 5 = -3 - 5 = -8.

Front

What is the value of f(x) = 2x + 3 when x = 2?

Back

f(2) = 2(2) + 3 = 4 + 3 = 7.

Front

What is the value of f(x) when f(x) = 0?

Back

The value of x that makes f(x) = 0 is the x-intercept of the function.

Front

What is the output of f(x) = x when x = -3?

Back

f(-3) = -3.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (f(x) values) that the function can produce.